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Finding the Fourth Proportional to 503,029.98, 694,280.00 and 288,313.95

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Solution

The fourth proportional to 503,029.98, 694,280.00 and 288,313.95 is: 397,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,029.98 : 694,280.00 = 288,313.95 : x
  2. Step 2: Convert to fraction form
    503,029.98/694,280.00 = 288,313.95/x
  3. Step 3: Cross multiply
    503,029.98x = 694,280.00 × 288,313.95
  4. Step 4: Simplify right side
    503,029.98x = 200,170,607,764.43
  5. Step 5: Solve for x
    x = 200,170,607,764.43/503,029.98
  6. Step 6: Final answer
    x = 397,929.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.